Seminario / Yadav
The organising committee of the Ischia Online Group Theory Conference
(GOThIC) is inviting you to a scheduled Zoom meeting.
The Ischia Group Theory 2020 Conference
(http://www.dipmat2.unisa.it/ischiagrouptheory/) was planned for
30 March - 4 April 2020. It has now been postponed to 2021.
In the meantime, we are offering a series of online lectures
by leading researchers (https://sites.google.com/unisa.it/e-igt2020/).
TIME: June 25, 2020 17:00 CEST (UTC+2)
COFFEE BREAK: The talk will start at 17:00 CEST.
The conference room will open at 16:45 CEST for a coffee break
- Bring Your Own tea/coffee mug - biscuits appreciated -
and join us for some smalltalk before the event.
SPEAKER: Manoj K. Yadav (Harish-Chandra Research Institute)
TITLE: The Schur Multiplier of Central Product of Groups
- The TIME OF THE TALK is 17:00 CEST.
- The Zoom link is NEW.
- You are welcome to share the Zoom link with other interested
parties, but PLEASE DO NOT POST THE LINK PUBLICLY.
- When joining, please MAKE SURE THAT YOUR NICKNAME IS
YOUR NAME AND SURNAME, or close to it, so that the organisers
can recognise you and let you in
ABSTRACT: Let G be the central product of two of its normal groups H
and K amalgamating a given central subgroup A. That the Schur
multiplier of G admits the abelian tensor product of H/A and K/A as a
subgroup was shown by J. Wiegold in 1971, in case G is finite. The
same conclusion for such arbitrary groups was derived by B. Eckman,
P. J. Hilton and U. Stammbach in 1973. In this talk, on the one hand,
I’ll discuss on the refinements of these results and, on the other
hand, establish an embedding from the Schur multiplier of G into an
explicit group constituted by the second cohomology groups of certain
quotients of H and K, and abelian tensor product of H and K. When the
said embedding is an isomorphism, then a precise formula for the Schur
multiplier is obtained. This talk is based on a joint work with
L. R. Vermani and Sumana Hatui.